We believe students make sense of mathematics when they learn in an environment that focuses on new concepts and builds on mathematics they have previously explored. Math class is about developing a problem solving mindset. Learning mathematics is developing understanding, making connections, applying knowledge, and communicating ideas.

• Students learn best when the important mathematical ideas are embedded in engaging problems that they can explore, discuss, and reflect upon.
• Students progress in both math content (skills & knowledge) and math practices (habits & communication) at different rates.
• Students build flexible thinking by considering a variety of strategies as they move towards efficiency.
• Depth is much more important than speed or quantity.
• Everyone can learn math to the highest levels.
• Asking questions and making mistakes are valuable tools in brain growth and learning.
• Math education is important to all people, not because they will see the same problems in the real world, but because they will have developed a problem solving mindset.

### Benchmark Understandings at Grade 8

The essential building blocks for solid understanding of mathematical concepts

### DEFINE, EVALUATE, AND COMPARE FUNCTIONS

• Model and compare functions graphically, algebraically, and in a table

### UNDERSTAND CONNECTIONS BETWEEN PROPORTIONAL RELATIONSHIPS, LINES, AND LINEAR EQUATIONS

• Define slope and apply it to write a linear equation (y=mx+b)
• Distinguish between a proportional and nonproportional linear relationship
• Analyze and solve linear equations and their point of intersection
• Distinguish between linear and nonlinear functions

### UNDERSTAND AND DESCRIBE TRANSFORMATIONS OF TWO DIMENSIONAL FIGURES

• Prove or disprove congruence and similarity through transformations (reflections, translations, rotations and dilations)

### DESCRIPTIVE STATISTICS - INVESTIGATE PATTERNS OF ASSOCIATION IN BIVARIATE DATA

• Construct and interpret scatter plots between two quantities (line of best fit, outliers, correlations)
• Read and interpret two-way tables that compare categorical data (frequency)

### FOCUS AT THIS GRADE LEVEL WILL ALSO INCLUDE:

• Estimate the value of irrational numbers and locate them on a number line (ex: square root of 2)
• Develop and apply exponent rules for all operations
• Apply square roots, cube roots, scientific notation
• Solve problems involving volume of cylinders, cones, and spheres

### HELPING YOUR STUDENT LEARN OUTSIDE OF SCHOOL:

• Praise your student when they make an effort and share in the excitement when they catch and fix a mistake, solve a problem, or understand something for the first time.
• Look for everyday opportunities to have your student do mathematics with you (calculating tips at restaurants, discounts at a store, manage a personal budget).
• Encourage your child to stick with it whenever a problem seems difficult. This will help your student build stamina and see that everyone can learn math.
• Point out where you are using mathematics in your everyday life.
• Play math games that encourage strategy and reasoning with your student.

• Where are your math resources?
• What strategy are you thinking about using to solve the problem?
• How could a model or a table help you solve this problem?